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Finding the Fourth Proportional to 2,055.96, 3,083.91 and 516.96

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Solution

The fourth proportional to 2,055.96, 3,083.91 and 516.96 is: 775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.96 : 3,083.91 = 516.96 : x
  2. Step 2: Convert to fraction form
    2,055.96/3,083.91 = 516.96/x
  3. Step 3: Cross multiply
    2,055.96x = 3,083.91 × 516.96
  4. Step 4: Simplify right side
    2,055.96x = 1,594,258.11
  5. Step 5: Solve for x
    x = 1,594,258.11/2,055.96
  6. Step 6: Final answer
    x = 775.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.